Finding the Third Proportional to 226,764 and 496,494

Step by Step Solution

1. Step 1: Write the proportion equation
   226,764 : 496,494 = 496,494 : x
2. Step 2: Convert to fraction form
   226,764/496,494 = 496,494/x
3. Step 3: Cross multiply
   226,764x = 496,494 × 496,494
4. Step 4: Simplify right side
   226,764x = 246,506,292,036
5. Step 5: Solve for x
   x = 246,506,292,036/226,764
6. Step 6: Final answer
   x = 1,087,060.96